2^3•4^3=2^3•2^n=2^9 find a number n so that the number sentence above is true.

Question

2^3•4^3=2^3•2^n=2^9

find a number n so that the number sentence above is true.

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Thạch Thảo 5 years 2021-07-22T02:53:31+00:00 1 Answers 17 views 0

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  1. thienan
    0
    2021-07-22T02:55:27+00:00
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    Answer:

    n = 6

    Step-by-step explanation:

    {2}^{3}. {4}^{3} = {2}^{3}. {2}^{n} \\ \\ {2}^{3}. {( {2}^{2}) }^{3} = {2}^{3 + n} \\ \\ {2}^{3}. {2 }^{6} = {2}^{3 + n} \\ \\ {2 }^{3 + 6} = {2}^{3 + n} \\ \\ {2 }^{9} = {2}^{3 + n} \\ \\ 9 = 3 + n \\ (bases \: are \: same \: so \: exponents \: will \: \\ also \: be \: equal) \\ 9 - 3 = n \\ \huge \red{ \boxed{n = 6}}

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